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Simplifying 3(r + -4) = 4(r + -7) Reorder the terms: 3(-4 + r) = 4(r + -7) (-4 * 3 + r * 3) = 4(r + -7) (-12 + 3r) = 4(r + -7) Reorder the terms: -12 + 3r = 4(-7 + r) -12 + 3r = (-7 * 4 + r * 4) -12 + 3r = (-28 + 4r) Solving -12 + 3r = -28 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -12 + 3r + -4r = -28 + 4r + -4r Combine like terms: 3r + -4r = -1r -12 + -1r = -28 + 4r + -4r Combine like terms: 4r + -4r = 0 -12 + -1r = -28 + 0 -12 + -1r = -28 Add '12' to each side of the equation. -12 + 12 + -1r = -28 + 12 Combine like terms: -12 + 12 = 0 0 + -1r = -28 + 12 -1r = -28 + 12 Combine like terms: -28 + 12 = -16 -1r = -16 Divide each side by '-1'. r = 16 Simplifying r = 16
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